OpenHoldem classifies and orders poker hands into a single 32bit value.

• Straight flush = bit 31 set

• Four of a kind = bit 30 set

• Full house = bit 29 set

• Flush = bit 28 set

• Straight = bit 27 set

• Three of a kind = bit 26 set

• Two pair = bit 25 set

• One pair = bit 24 set

• 5-of-a-kind is indicated when bits 31-24 are set to 1

• High-card (no pair) is indicated when bits 31-24 are set to 0

• Bits 19-16 indicate the rank of the top card in the hand

• Bits 15-12 indicate the rank of the second card in the hand

• Bits 11-8 indicate the rank of the third card in the hand

• Bits 7-4 indicate the rank of the fourth card in the hand

• Bits 3-0 indicate the rank of the fifth card in the hand

• 14 Ace

• 13 King

• 12 Queen

• 11 Jack

• 10-2 Ten-Two

• 1 Ace (in lo straight)

The pokerval symbol maps every 0 to 7 card poker hand onto the 32bit number space in correct order of game precedence, allowing two poker hands can be compared to see which is the better hand - higher values are better. The lowest possible value is 0 (no cards).

Now we either apply a binary operation or we feed the pokerval into MicroSofts calculator and then switch to binary mode:

Not that hard to interpret the result.

The symbol pcbits is a bit list that indicates where your dealt pocket cards are used in your 5 card poker hand. Ony the lower order 5 bits are significant - one bit per card in your 5 card poker hand. Each bit corresponds to a pokerval rank field as follows:

bit# pokerval bit4 rank5 bit3 rank4 bit2 rank3 bit1 rank2 bit0 rank1.

In the example above pcbits would look like

pcbits = 00110

because we contribute 7 and 6 in a 98765-straight.

If all bits in pcbits are zero then neither of your two cards are used in your 5 card hand. The following formula fragment will be true if you have a sucker straight:

((nstraight==5) && (pcbits==1))

The following formula fragment will be true if you are filling an inside straight:

((nstraight==5) && (pcbits&14))

The formula symbol npcbits contains the number of your pocket cards being used in your 5 card poker hand. The possible values are: 0, 1 and 2.