Binary Arithmetic
Akopọ
A processor cannot do arithmetic the way you were taught it at primary school, because it has no digits from 2 to 9 to work with. It has 0 and 1, and out of those two symbols and one rule about carrying it builds every sum, every difference, every price total and every frame of every game you have ever played. The surprising part is how small that rule is: binary addition has four cases, and you already know three of them.
This lesson teaches you to add two binary numbers by hand and to shift a binary number left or right, which is the trick a processor uses to multiply and divide by powers of two at almost no cost. You will also learn what gets thrown away when a shift runs off the end of an eight bit register, because knowing what a shift destroys is what separates a candidate who can perform one from a candidate who can be trusted to use one.
Awọn Afojusun
- Be able to add together two binary numbers.
- Be able to apply a binary shift to a binary number.
- Describe situations where binary shifts can be used.
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Oriire fun ipari ẹkọ lori Binary Arithmetic. Ni bayi ti o ti ṣawari naa awọn imọran bọtini ati awọn imọran, o to akoko lati fi imọ rẹ si idanwo. Ẹka yii nfunni ni ọpọlọpọ awọn adaṣe awọn ibeere ti a ṣe lati fun oye rẹ lokun ati ṣe iranlọwọ fun ọ lati ṣe iwọn oye ohun elo naa.
Iwọ yoo pade adalu awọn iru ibeere, pẹlu awọn ibeere olumulo pupọ, awọn ibeere idahun kukuru, ati awọn ibeere iwe kikọ. Gbogbo ibeere kọọkan ni a ṣe pẹlu iṣaro lati ṣe ayẹwo awọn ẹya oriṣiriṣi ti imọ rẹ ati awọn ogbon ironu pataki.
Lo ise abala yii gege bi anfaani lati mu oye re lori koko-ọrọ naa lagbara ati lati ṣe idanimọ eyikeyi agbegbe ti o le nilo afikun ikẹkọ. Maṣe jẹ ki awọn italaya eyikeyi ti o ba pade da ọ lójú; dipo, wo wọn gẹgẹ bi awọn anfaani fun idagbasoke ati ilọsiwaju.
- In binary addition, what is written down and what is carried when a column contains 1 + 1? A. Write 1, carry 0 B. Write 0, carry 1 C. Write 2, carry 0 D. Write 1, carry 1 Answer: B
- What is 00001100 + 00000110 in binary? A. 00010010 B. 00010100 C. 00001110 D. 00011000 Answer: A
- A logical left shift of 1 place has what effect on the denary value of a binary number? A. Halves it B. Doubles it C. Adds 1 to it D. Leaves it unchanged Answer: B
- The binary number 00011000 is given a logical right shift of 2 places. What is the result? A. 00000110 B. 01100000 C. 00001100 D. 00000011 Answer: A
- Which calculation can be carried out using a single binary shift? A. Multiply by 10 B. Multiply by 16 C. Multiply by 3 D. Multiply by 100 Answer: B
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