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0 Remainder 4 (LSD) Remainder 1 Remainder 7 (MSD) The octal number is 7148. 3 shows the octal equivalent of decimal numbers 0 to 31. 14 Converting Octal Numbers into Binary To convert an octal number into binary, write the 3-bit binary equivalent of each octal digit. 19 Convert octal number 1778 into binary. 19 Write the binary equivalent of each octal digit: 1 = 0012 7 = 1112 7 = 1112 The binary number is 0011111112. 20 Convert octal number 758 into binary. 20 Write the binary equivalent of each octal digit: 7 = 1112 5 = 1012 The binary number is 1111012.

Correct the exponent.  Normalize the number.  The sign of the result is the EXOR of the signs of the two numbers. Since the exponent is processed twice in the calculations, we have to subtract 127 from the exponent. An example showing the multiplication of two floating point numbers follows. 7510 in floating point and then calculate their multiplication. ” The sum of the exponents is 126 þ 126 ¼ 252. Subtracting 127 from the mantissa, we obtain 252 – 127 ¼ 125. The EXOR of the signs of the numbers is 0.

61 30 15 7 3 1 0 Remainder 0 (LSD) Remainder 1 Remainder 0 Remainder 1 Remainder 1 Remainder 1 Remainder 1 (MSD) The binary number is 11110102. 8 Converting Binary Numbers into Hexadecimal To convert a binary number into hexadecimal, arrange the number in groups of four and find the hexadecimal equivalent of each group. If the number cannot be divided exactly into groups of four, insert zeros to the left of the number as needed so the number of digits are divisible by four. 6 Convert binary number 100111112 into hexadecimal.

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