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Specification Journal 008 3.5.2 Number bases For this specification point the following areas are covered: Be familiar with the concept of a number base, in particular: o Decimal (base 10) o Binary (base 2) o Hexadecimal (base 16) Convert between decimal, binary and hexadecimal number bases Be familiar with, and able to use hexadecimal as a short hand for binary and understand why it is used this way. 1.1 Key terms to define Write a detail definition of each term given below. Look into the technical aspects of each key word. Term Decimals (Base 10) Binary (Base 2) Hexadecimal (base 16) Definition Questions to complete 1.2 Binary to decimal conversions Convert the following numbers from binary to decimal - Show your workings and do not use a calculator 1) 2) 3) 4) 5) 6) 7) 8) 9) 10) 111011010101 110111 10011001 111010001001 1101010100011 11001111011101 111001011 11101001 11000101 11100110 1.3 Decimal to binary conversion Convert the following decimal numbers to binary – Show your workings and do not use a calculator. 1) 345 2) 34 3) 4) 5) 6) 7) 8) 9) 10) 7854 887 58 128 358 63 80 206 1.4 Decimal to Hexadecimal. Convert the following numbers from decimal to hexadecimal via binary. Show your workings and do not use a calculator 1) 2) 3) 4) 5) 6) 7) 8) 9) 10) 587 1045 462 45 240 429 2057 5827 105 78 1.5 Hexadecimal to Decimal Convert the following numbers from hexadecimal to decimal via binary. Show your workings and do not use a calculator 1) 2) 3) 4) 5) 6) 7) 8) 9) 10) E9 1F F1 AB FADE 56 93 10A 79 C4 1.6 Extension 1) Write a computer program that convert binary to decimal and vice versa.