1) Convert the following to denary: 0.1011001 0101 (assuming an 8 bit mantissa and 4 bit exponent) a) 21.25 b) 22.25 c) -21.25 d) -22.25 2) Convert the following to denary: 1.0011111 0110 (assuming an 8 bit mantissa and 4 bit exponent) a) -4.85 b) -40 c) -49.5 d) −48.5 3) Convert the following to denary: 0.11100 1010 (assuming an 6 bit mantissa and 4 bit exponent) a) 0.013672 b) 0.013673 c) 0.013682 d) 0.014672 4) Convert the following to denary: 0.10110111 0101 (assuming an 9 bit mantissa and 4 bit exponent) a) 22.875 b) 22.885 c) 30 d) 30.875 5) Convert the following to denary: 1.011 111010 (assuming an 4 bit mantissa and 6 bit exponent) a) 9.765625 b) 0.009765625 c) 0.09765625 d) 0.9 6) Convert the following to denary: 0.1111001 01010 (assuming an 8 bit mantissa and 5 bit exponent) a) 96.8 b) 9.68 c) 968 d) 0.968 7) Convert the following to denary: 0.10111 010000 (assuming an 6 bit mantissa and 6 bit exponent) a) 50,100 b) 4,704 c) 5.105 d) 47,104 8) Give the normalised version where mantissa is 0.0101000, exponent is 0100 a) 0.1010000 0010 b) 0.1010001 0011 c) 1.1010000 0011 d) 0.1010000 0011 9) Give the normalised version where mantissa is 0.0001011, exponent is 0111 a) 0.1011000 0100 b) 0.1011000 0110 c) 1.1011000 0100 d) 1.1011000 0110 10) Give the normalised version where mantissa is 1.10100, exponent is 0011 a) 1.001000 0010 b) 1.001000 1010 c) 1.001011 0010 d) 0.101000 0010

A-Level.Unit 6.Floating Point

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