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Computing Academy GCSE Computer Science

Denary to Hexadecimal

Denary to Hexadecimal Should we wish to convert a denary number such as 235 into hexadecimal we divide by 16 and record the remainder. 235 / 16 = 14 r11 In hex 14 = E and 11 = B. So, 235 in denary is EB in hex. Note that you need to use long division here, not just use the divide function on a calculator as this will give a decimal number rather than a remainder. Here are a couple more examples: 110 / 16 = 6 r14 110 in denary = 6E in hex. 25 / 16 = 1 r9 25 in denary = 19 in hex. 80 / 16 = 5 r0 80 in denary = 50 in hex. 79

Task Convert the following denary numbers to hexadecimal. The first one has been done for you. 15 15 / 16 = 0 r15 15 in denary = 0F in hex. 101 101 / 16 = r 101 in denary = _______ in hex. 64 64 / 16 = r 64 in denary = _______ in hex. 205 205 / 16 = r 205 in denary = _______ in hex. 80

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