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Tambaya 1 Rahoto
Perform the following conversions in the stated number bases;
(a) AB1\(_{16}\) to Octal system
(b) 1110111.101\(_2\) to Denary system
(c) 507\(_2\) to Binary system.
(a) Convert \(AB1_{16}\) to the Octal system
Step 1: Write each hexadecimal digit as 4 binary bits.
\[A=1010,\quad B=1011,\quad 1=0001\]
\[AB1_{16}=1010\,1011\,0001_2\]
Step 2: Regroup the binary digits in threes from the right.
\[101\;010\;110\;001\]
Step 3: Convert each group of three to its octal digit.
\[101=5,\;010=2,\;110=6,\;001=1\]
\[\therefore AB1_{16}=5261_8\]
(b) Convert \(1110111.101_2\) to the Denary (base 10) system
Integer part, using place values \(64,32,16,8,4,2,1\):
\[1110111_2=64+32+16+0+4+2+1=119\]
Fractional part, using place values \(\tfrac{1}{2},\tfrac{1}{4},\tfrac{1}{8}\):
\[.101_2=1(0.5)+0(0.25)+1(0.125)=0.625\]
\[\therefore 1110111.101_2=119.625_{10}\]
(c) Convert \(507_8\) to the Binary system
Since the digit 7 is not valid in base 2, the number is in the octal system. Write each octal digit as 3 binary bits.
\[5=101,\quad 0=000,\quad 7=111\]
\[\therefore 507_8=101\,000\,111_2=101000111_2\]
Check by way of denary: \(507_8=5\times8^2+0\times8^1+7\times8^0=320+0+7=327_{10}\), and repeated division of \(327\) by 2 gives \(101000111_2\), confirming the result.
Bayanin Amsa
(a) Convert \(AB1_{16}\) to the Octal system
Step 1: Write each hexadecimal digit as 4 binary bits.
\[A=1010,\quad B=1011,\quad 1=0001\]
\[AB1_{16}=1010\,1011\,0001_2\]
Step 2: Regroup the binary digits in threes from the right.
\[101\;010\;110\;001\]
Step 3: Convert each group of three to its octal digit.
\[101=5,\;010=2,\;110=6,\;001=1\]
\[\therefore AB1_{16}=5261_8\]
(b) Convert \(1110111.101_2\) to the Denary (base 10) system
Integer part, using place values \(64,32,16,8,4,2,1\):
\[1110111_2=64+32+16+0+4+2+1=119\]
Fractional part, using place values \(\tfrac{1}{2},\tfrac{1}{4},\tfrac{1}{8}\):
\[.101_2=1(0.5)+0(0.25)+1(0.125)=0.625\]
\[\therefore 1110111.101_2=119.625_{10}\]
(c) Convert \(507_8\) to the Binary system
Since the digit 7 is not valid in base 2, the number is in the octal system. Write each octal digit as 3 binary bits.
\[5=101,\quad 0=000,\quad 7=111\]
\[\therefore 507_8=101\,000\,111_2=101000111_2\]
Check by way of denary: \(507_8=5\times8^2+0\times8^1+7\times8^0=320+0+7=327_{10}\), and repeated division of \(327\) by 2 gives \(101000111_2\), confirming the result.
Tambaya 2 Rahoto
(a)(i) What is Universal Serial Bus (USB)?
(ii) State two benefits of using USB connection between a computer and another device.
(b) In Table 1, three storage devices are described, Use it to answer questions 3(b)(i) and 3(b)(ii).
(i) In column 2, name the storage device being described in column 1.
(ii) Show the category of storage device being described in column 1 by ticking in any of the column 3, 4 or 5
| SN | 1 | 2 | 3 | 4 | 5 |
| Description of Storage Device | Name of Storage Device | Category of Storage Device | |||
| Primary | Secondary | Offline | |||
| 1 | Magnetic storage medium which is composed of a thin flexible disk sealed in a square plastic carrier. | ||||
| 2 | Optical media - which uses one spiral track.Red lasers are used to read and write data on the media surface and it makes use of dual-layering technology to increase the storage capacity to over 1 GB. | ||||
| 3 | Non-volatile memory chip which contents cannot be altered. It is often used to store the start-up routines in a computer (e.g the BIOS). | ||||
(a)(i) Universal Serial Bus (USB):
| Column 1 | Column 2 | Column 3 |
|---|---|---|
| Data | Data | Data |
| Data | Data | Data |
| Data | Data | Data |
Universal Serial Bus (USB) is a standard plug-and-play interface used to connect a computer to peripheral devices such as keyboards, mice, printers, scanners, flash drives, cameras and mobile phones for communication, data transfer and power supply.
(a)(ii) Benefits of USB connection:
(b) Identification and category of storage devices:
| SN | Description of Storage Device | Name of Storage Device | Primary | Secondary | Offline | ||||||||||||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1 | Magnetic storage medium which is composed of a thin flexible disk sealed in a square plastic carrier. | Floppy disk | ✓ | ||||||||||||||||||||||||||||||
| 2 | Optical media which uses one spiral track. Red lasers are used to read and write data on the media surface, and it makes use of dual-layering technology to increase storage capacity to over 1 GB. | DVD (Digital Versatile Disc) |
| Column 1 | Column 2 | Column 3 |
|---|---|---|
| Data | Data | Data |
| Data | Data | Data |
| Data | Data | Data |
Universal Serial Bus (USB) is a standard plug-and-play interface used to connect a computer to peripheral devices such as keyboards, mice, printers, scanners, flash drives, cameras and mobile phones for communication, data transfer and power supply.
(a)(ii) Benefits of USB connection:
(b) Identification and category of storage devices:
| SN | Description of Storage Device | Name of Storage Device | Primary | Secondary | Offline |
|---|---|---|---|---|---|
| 1 | Magnetic storage medium which is composed of a thin flexible disk sealed in a square plastic carrier. | Floppy disk | ✓ | ||
| 2 | Optical media which uses one spiral track. Red lasers are used to read and write data on the media surface, and it makes use of dual-layering technology to increase storage capacity to over 1 GB. | DVD (Digital Versatile Disc) |