A marine research vessel records sonar positions using hexadecimal coordinates. A saved coordinate is 7E. Before plotting it on a decimal navigation program...
Question 1 Report
A marine research vessel records sonar positions using hexadecimal coordinates. A saved coordinate is 7E. Before plotting it on a decimal navigation program, a researcher converts it. The number is stored in one byte of memory and no negative values are used.
(a) Give the decimal value of hexadecimal 7E. [3]
(b) State the 8-bit binary value of hexadecimal 7E. [2]
(c) State the greatest hexadecimal value that fits in one byte. [1]
Answer Details
(a) \(E=14\). The two hexadecimal place values are 16 and 1: \[7\times16+14=112+14=\mathbf{126}\] [3]
(b) \(7=0111\) and \(E=1110\), so the 8-bit binary value is 01111110. [2]
(c) One byte has two hexadecimal digits. The greatest possible digit is \(F\), so the greatest value is FF. [1]
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